I'd also been considering electricity as a theme but I don't think we have seen any sign of it in the setting as of yet either.
Physicians guild doesn't play guild ball. They are neutral and paid a stipend by every other guild.

No. Minor guilds are balanced and designed around 8. Once they get larger they are no longer a minor guild and currently there is no minor guild that is planned to become a major guild. It could of course happen eventually but there is still lots of stuff to come out till then.

I know they wanted to this year to make it to all Nationals events. Was working on getting Sean to Eastern Canadian Nationals but just didn't work out with family obligations that coincided too close to the day of the event. So maybe.